Answer:
The radius of the pie is 6.17 in.
Step-by-step explanation:
The formula for arc length as a function of radius is
s = r·Ф, where Ф is the central angle in radians.
Here we know that the arc length is 7.85 in. Assuming that the whole pie has been cut into 8 equal pieces, the central angle of one such piece is
2π / 8, or π /4 (radians).
thus, s = r·Ф, solved for r, is r = s/Ф
and in this instance r = (7.85 in)/(π/4). Evaluating this, we get:
r = 6.17 in
The radius of the pie is 6.17 in.
Answer:
4/52 or 1/13
Step-by-step explanation:
there are only 4 kings; diamond, Heart, Spades and Clubs.
Answer:
9, 32 and 36
Step-by-step explanation:
The perimeter of a triangle is the sum of all the sides. Since you know the perimeter and the expressions for each of the sides, you can set up an equation to solve for the variable and find the values of the other sides:
one side: '4 times the shortest side' = 4s
shortest side: 's'
third side: '23 more than the shortest side' = s + 23
perimeter = 77
Equation: 4s + s + (s + 23) = 77
Combine like terms: 6s + 23 = 77
Subtract 23 from both sides: 6s + 23 - 23 = 77 - 23 or 6s = 54
Divide by 6: 6s/6 = 54/6 or s = 9
one side: 4s = 4(9) = 36
shortest side: s = 9
third side: s + 23 = 9 + 23 = 32
If you would like to solve the equation x^2 + 12 * x = -11, you can calculate this using the following steps:
x^2 + 12 * x = -11
<span>x^2 + 12 * x + 11 = 0
</span>(x + 1) * (x + 11) = 0
1. x = - 1
2. x = - 11
The correct result would be x = - 1, or x = - 11.
Kayla buys two pairs of jeans for j dollars each and one shirt for 15 dollars. The cost of one pair of jeans is $22.5 (twenty-two dollars and fifty cents)
From the given information
- Let the cost of two pairs of jeans be 2j
- The cost of 1 shirt = 15
- Total amount to spent = $60
∴
The equation is said to be expressed as:
Collect like terms
Divide both sides by 2
- j = 22.5
Therefore, we can conclude that the cost of one pair of jeans is $22.5 (twenty-two dollars and fifty cents).
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